13112111200289 has 2 divisors, whose sum is σ = 13112111200290. Its totient is φ = 13112111200288.

The previous prime is 13112111200241. The next prime is 13112111200351. The reversal of 13112111200289 is 98200211121131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12209293872400 + 902817327889 = 3494180^2 + 950167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13112111200289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13112111200189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556055600144 + 6556055600145.

It is an arithmetic number, because the mean of its divisors is an integer number (6556055600145).

Almost surely, 2^{13112111200289} is an apocalyptic number.

It is an amenable number.

13112111200289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112111200289 is an equidigital number, since it uses as much as digits as its factorization.

13112111200289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 13112111200289 in words is "thirteen trillion, one hundred twelve billion, one hundred eleven million, two hundred thousand, two hundred eighty-nine".